The first six even moments of the displacement of a molecule in water and an atom in liquid argon are found by molecular dynamics simulations and compared with the moments predicted by diffusion theory. We find a noticeable difference between the moments higher than the second. The ratio between predicted and calculated moments approaches unity as 1/t for times larger than 10 ps. Continuous tim...

The simplest system in Levermore’s moment hierarchy involving moments higher than second order is the five–moment closure. It is obtained by taking velocity moments of the one–dimensional Boltzmann equation under the assumption that the velocity distribution is a maximum–entropy function. The moment vectors for which a maximum–entropy function exist consequently make up the domain of definition...

Corresponding Author: Simon Liao The University of Winnipeg, Winnipeg, Manitoba, Canada, R3B 2E9, Canada Email: [email protected] Abstract: In this research, a numerical integration method is proposed to improve the computational accuracy of Legendre moments. To clarify the improved computation scheme, image reconstructions from higher order of Legendre moments, up to 240, are conducted. Wi...

Ahstract The quantum and classical equations are found which govern the motion of toroidal moments in an external magnetic field. The concrete realization of toroidal moments of higher multipolarities is given, and it is shown how the toroidal moments interact with each other. We recover the 3-dimensional analogue of the Aharonov-Casher effect. It turns out that the toroidal moments should exhi...

A nanoantenna with balanced electric and magnetic dipole moments, known as the first Kerker condition, exhibits a directive radiation pattern with zero backscattering. In principle, a nanoantenna can provide even better directionality if higher order moments are properly balanced. Here, we study a generalized Kerker condition in the example of a nanoring nanoantenna supporting electric dipole a...

OBJECTIVES To comparatively evaluate the extrusive forces and torquing moments on the posterior dentition generated during anterior intrusion with different intrusion techniques in the maxillary and mandibular dental arch. MATERIAL AND METHODS Seven wire specimens were used for each of the following intrusive arches: Utility arch 0.016 x 0.016' Blue Elgiloy, Utility arch 0.017 x 0.025' TMA an...

We consider linear statistics of the scaled zeros of Dirichlet L– functions, and show that the first few moments converge to the Gaussian moments. The number of Gaussian moments depends on the particular statistic considered. The same phenomenon is found in Random Matrix Theory, where we consider linear statistics of scaled eigenphases for matrices in the unitary group. In that case the higher ...